A new shaping method for circularly symmetric dual reflector antennas

This work presents a shaping method for a circularly symmetric dual reflector antenna. The shaped reflector surface is determined from the prescribed aperture field based on the principles of geometrical optics (GO), including power conservation, Snell´s law and ray condition. Using these principles, two first order ordinary differential equations for shaping circularly symmetric reflectors, have been formulated previously. These principles were also used to design the subreflector and consequently the main reflector surface to obtain the desired uniform aperture field distribution. However, in this research, instead of solving rather complicated partial differential equations, several nonlinear algebraic equations are formulated based on these principles and geometrical properties of conventional dual reflector antennas, and solved numerically with a certain approximation for a shaped dual reflector surface and caustic line.